Harrison Township is one of fourteen townships in Morgan County, Indiana, United States. As of the 2010 census, its population was 1,522 and it contained 625 housing units.
According to the 2010 census, the township has a total area of , of which (or 96.63%) is land and (or 3.37%) is water.
The township contains these three cemeteries: Independent Order of Odd Fellows, MacKenzie and Shiloh.